82262169726 has 128 divisors (see below), whose sum is σ = 185139302400. Its totient is φ = 24157647360.

The previous prime is 82262169721. The next prime is 82262169763. The reversal of 82262169726 is 62796126228.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82262169721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81527910 + ... + 81528918.

It is an arithmetic number, because the mean of its divisors is an integer number (1446400800).

Almost surely, 2^82262169726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82262169726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92569651200).

82262169726 is an abundant number, since it is smaller than the sum of its proper divisors (102877132674).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82262169726 is a wasteful number, since it uses less digits than its factorization.

82262169726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374.

The product of its digits is 1741824, while the sum is 51.

The spelling of 82262169726 in words is "eighty-two billion, two hundred sixty-two million, one hundred sixty-nine thousand, seven hundred twenty-six".